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Generalization of the Hamiltonian groups

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  1. The following references relate to Hamiltonian groups: Dedekind, Mathematische Annalen, vol. 48 (1897), p. 548; Miller, Comptes Rendus, vol. 126 (1898), p. 1406; Bulletin of the American Mathematical Society, vol. 4 (1898), p. 510; Ibid. Bulletin of the American Mathematical Society, vol. 5 (1899), p. 292; d'Alessandro, Giornale di matematiche, vol. 37 (1899), p. 138; Wendt, Mathematische Annalen, vol. 59 (1904), p. 189. Cf. Burkhardt, Math. Ene. IA6, vol. 1, p. 223; Weber, Algebra, vol. 2, 1899, p. 129.

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  2. Bauer, Nouvelles Annales de Mathématiques, vol. 19 (1900), p. 509.

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  3. Bulletin of the American Mathematical Society, vol. 7 (1901), p. 424.

  4. Fite, Transactions of the American Mathematical Society, vol. 3 (1902), p. 342.

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  5. Bulletin of the American Mathematical Society, vol. 3 (1897), p. 218.

  6. Ibid. Bulletin of the American Mathematical Society, vol. 4 (1898), p. 514.

  7. Two groups are said to be conformal when they contain the same number of operators of each order (Bulletin of the American Mathematical Society, vol. 2 (1896), p. 140). That all theseG's are conformal with abelian groups is due to the fact that an operator cannot have more thanp conjugates. (Cf. ibid. Two groups are said to be conformal when they contain the same number of operators of each order (Bulletin of the American Mathematical Society, vol. 7 (1901), p. 351.)

  8. Bulletin of the American Mathematical Society, vol. 3 (1897), p. 216.

  9. cf. Bulletin of the American Mathematical Society, vol. 5 (1899), p. 229.

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  1. Stanford University, California

    G. A. Miller

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  1. G. A. Miller
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Miller, G.A. Generalization of the Hamiltonian groups. Math. Ann. 60, 597–606 (1905). https://doi.org/10.1007/BF01561097

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